Neither pills/alcohol and slitting writs are reliable methods. Only a very small % of people who try such methods succeed.
For the pills/alcohol method, you are more likely to end up in a hospital suffering for a good while rather than dying or you will just wake up in a pool of vomit feeling like shit and still alive. Depending on what you ingest it could also cause damage to your organs, but I can't make any claims without knowing what pills you are/were planning to ingest.
As for slitting wrists, I don't know a lot about the method, but what I know is that takes a lot of effort to actually pull it off, because your body naturally will try to avoid the pain. Even if you can cut deep enough, it is not a guarantee that you will die and if you do, it is not going to be super fast or painless either. Also, depending on how you cut, you might permanently damage your arms/hands.
By the way, the wrists method is very graphic, with all the blood... If a method being graphic and shocking isn't a concern, and you want something of easy access, then hanging is a better choice.